In: Statistics and Probability
ANOVA table:
Source |
df |
SS |
MS |
F |
Between |
4 |
199.2 |
49.80 |
5.062* |
Within |
75 |
737.8 |
9.84 |
|
Total |
79 |
937.0 |
4.05
.988
1.34
1.84
4.96
a) From the given data
ANOVA Table | alpha = | 0.05 | ||||
Source | df | Sum of square | mean Square | F-ratio | F-critical | P-value |
Between Groups | 4 | 199.2 | 49.8 | 5.062 | 2.4937 | 0.0011 |
Withing Groups | 75 | 737.8 | 9.8 | |||
Total | 79 | 937.0 |
Since F-ratio = 5.062 > F-Critical vaue so we reject H0
also P-value < alpha 0.05 so we reject H0
Thus we conclude that there is at least two means are different
b) Tukey HSD Test: